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Verified answer
X + a = 0x = -a
f(x) = x⁴ + 3x² - 2x + 2
f(-a) = a⁴ + 3a² + 2a + 2
f(-a) = a² - 3
(a² - 3)² = a⁴ + 3a² + 2a + 2
a⁴ - 6a² + 9 = a⁴ + 3a² + 2a + 2
9a² + 2a - 7 = 0
(9a - 7)(a + 1) = 0
a = 7/9 atau a = -1